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20141040 = 243583921
BaseRepresentation
bin100110011010…
…1001111110000
31101220021022110
41030311033300
520124003130
61555405320
7333124143
oct114651760
941807273
1020141040
1110407297
1268b3840
13423269a
14296405a
151b7cab0
hex13353f0

20141040 has 40 divisors (see below), whose sum is σ = 62437968. Its totient is φ = 5370880.

The previous prime is 20141021. The next prime is 20141047. The reversal of 20141040 is 4014102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×201410403 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41721 + ... + 42200.

Almost surely, 220141040 is an apocalyptic number.

20141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141040 is an abundant number, since it is smaller than the sum of its proper divisors (42296928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20141040 is a wasteful number, since it uses less digits than its factorization.

20141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83937 (or 83931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20141040 is about 4487.8770036622. The cubic root of 20141040 is about 272.0783367215.

Adding to 20141040 its reverse (4014102), we get a palindrome (24155142).

The spelling of 20141040 in words is "twenty million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 83921 167842 251763 335684 419605 503526 671368 839210 1007052 1258815 1342736 1678420 2014104 2517630 3356840 4028208 5035260 6713680 10070520 20141040